1362749587920 has 480 divisors, whose sum is σ = 5467222396800. Its totient is φ = 311088992256.

The previous prime is 1362749587879. The next prime is 1362749587931. The reversal of 1362749587920 is 297859472631.

1362749587920 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 7 + 49 + 587 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1362749587920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87521896 + ... + 87537464.

It is an arithmetic number, because the mean of its divisors is an integer number (11390046660).

It is a 1-persistent number, because it is pandigital, but 2⋅1362749587920 = 2725499175840 is not.

Almost surely, 2^{1362749587920} is an apocalyptic number.

1362749587920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362749587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733611198400).

1362749587920 is an abundant number, since it is smaller than the sum of its proper divisors (4104472808880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1362749587920 is a wasteful number, since it uses less digits than its factorization.

1362749587920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16432 (or 16413 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1362749587920 in words is "one trillion, three hundred sixty-two billion, seven hundred forty-nine million, five hundred eighty-seven thousand, nine hundred twenty".